Answer:
(a) Amount of salt as a function of time

(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.
(c) The amount of salt when t approaches to +inf is 100 lb.
Step-by-step explanation:
The rate of change of the amount of salt can be written as

Then we can rearrange and integrate

Then we have the model of A(t) like

(b) The time at which the amount of salt reaches 50 lb is

(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.
Answer:
If you mean only one rational solution, the answer is

If you mean at least 1 rational solution, the answer is
![k\in (-\infty, -8]\cup[8, \infty)](https://tex.z-dn.net/?f=k%5Cin%20%28-%5Cinfty%2C%20-8%5D%5Ccup%5B8%2C%20%5Cinfty%29)
Step-by-step explanation:

Let's calculate the discriminant.



Now, remember that:



Therefore, I will just consider the first two cases.

and





Orwell, on average, was photographed 22 times every hour.
The constant rate of change is 82
Answer:
No
Step-by-step explanation:
5-X=3
X=5+3
X=8
5-8=3